posted on 2017-12-06, 00:00authored byLi Chai, J Zhang, C Zhang, E Mosca
This paper studies the optimal noise reduction problem for oversampled filter banks (FBs) with perfect reconstruction (PR) constraint. Both the optimal design and worst case design are considered, where the former caters for the noise with known power spectral density (PSD) and the latter for the noise with unknown PSD. State-space based explicit formulae involving only algebraic Riccati equation and matrix manipulations are provided for the general (IIR or FIR) oversampled PR FBs, and the relations between different cases are analyzed and revealed. Extensive numerical examples are provided to illustrate the proposed design methods and to show their effectiveness
Funding
Category 2 - Other Public Sector Grants Category
History
Volume
57
Issue
10
Start Page
3844
End Page
3857
Number of Pages
14
ISSN
1053-587X
Location
Piscataway, United States
Publisher
Institute of Electrical and Electronics Engineers Inc